what is the measure of an interior angle ofregular polygon having 5 sides.
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0
Answer:
Given: 5-sided regular polygon
Regular means all of the sides and angles are congruent.
The interior angles of regular polygons sum to
(
n
−
2
)
⋅
180
where
n
= the number of sides.
The total sum of the interior angles of a 5-sided (pentagon) is
(
5
−
2
)
⋅
180
=
540
∘
Since there are 5 sides, there are also 5 angles.
Divide the total sum by
5
:
540
∘
5
=
108
∘
The central angles sum to
360
∘
.
Each central angle =
360
∘
5
=
72
∘
Step-by-step explanation:
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Answered by
1
Answer:
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Step-by-step explanation:
625 unit
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